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Normalized graph Laplacians for directed graphs
Normalized graph Laplacians directed graphs Combinatorics
2011/9/20
Abstract: We consider the normalized Laplacian for directed graphs with positive and negative edge weights. We derive basic spectral properties of the normalized Laplacian and identify extremal eigenv...
Graph-Laplacians and Dirac Operators on (Infinite) Graphs and the Calculation of the Connes-Distance-Functional
Graph-Laplacians Dirac Operators Calculation the Connes-Distance-Functional
2010/11/1
We develop a graph-Hilbert-space framework, inspired by non-commutative geometry, on (infinite) graphs and use it to study spectral properies of \tit{graph-Laplacians} and so-called \tit{graph-Dirac-o...